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2225045010 = 235293138171
BaseRepresentation
bin1000010010011111…
…0111111000010010
312202001210222221110
42010213313320102
514024102420020
61004442234150
7106065366456
oct20447677022
95661728843
102225045010
11a41a86281
125211b5956
13295c901a6
1417171a666
15d05178e0
hex849f7e12

2225045010 has 64 divisors (see below), whose sum is σ = 5542577280. Its totient is φ = 570984960.

The previous prime is 2225045003. The next prime is 2225045021. The reversal of 2225045010 is 105405222.

It is a happy number.

2225045010 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268225 + ... + 276395.

It is an arithmetic number, because the mean of its divisors is an integer number (86602770).

Almost surely, 22225045010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225045010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2771288640).

2225045010 is an abundant number, since it is smaller than the sum of its proper divisors (3317532270).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2225045010 is a wasteful number, since it uses less digits than its factorization.

2225045010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8523.

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 2225045010 is about 47170.3827629160. The cubic root of 2225045010 is about 1305.5081886247.

The spelling of 2225045010 in words is "two billion, two hundred twenty-five million, forty-five thousand, ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 313 435 626 870 939 1565 1878 3130 4695 8171 9077 9390 16342 18154 24513 27231 40855 45385 49026 54462 81710 90770 122565 136155 236959 245130 272310 473918 710877 1184795 1421754 2369590 2557523 3554385 5115046 7108770 7672569 12787615 15345138 25575230 38362845 74168167 76725690 148336334 222504501 370840835 445009002 741681670 1112522505 2225045010